As shown in the figure below, you have a hollow spherical shell of radius R with a total charge uniformly spread over its surface. At the center of this hollow sphere is a point charge 2Q. (a) Find an expression for the electric field E(r) in every region. Make sure to include the direction of the vector! (b) Draw a graph of the magnitude of the electric field as a function of distance r from the central charge. Make sure to label your axes, and be as accurate as you can! (c) Find an expression for the electric potential at the surface of the shell (r = R). %3D

As shown in the figure below, you have a hollow spherical shell of radius R with a total charge uniformly spread over its surface. At the center of this hollow sphere is a point charge 2Q. (a) Find an expression for the electric field E(r) in every region. Make sure to include the direction of the vector! (b) Draw a graph of the magnitude of the electric field as a function of distance r from the central charge. Make sure to label your axes, and be as accurate as you can! (c) Find an expression for the electric potential at the surface of the shell (r = R). %3D

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A Charge Within A Sphere
As shown in the figure below, you have a hollow spherical shell of radius R with a total charge Q
uniformly spread over its surface. At the center of this hollow sphere is a point charge 2Q.
(a) Find an expression for the electric field E(r) in every region. Make sure to include the direction of
the vector!
(b) Draw a graph of the magnitude of the electric field as a function of distance r from the central
charge. Make sure to label your axes, and be as accurate as you can!
(c) Find an expression for the electric potential at the surface of the shell (r = R).
20

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